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Sobolev Type Inequalities, Euler–Hilbert–Sobolev and Sobolev–Lorentz–Zygmund Spaces on Homogeneous GroupsWe define Euler–Hilbert–Sobolev spaces and obtain embedding results on homogeneous groups using

Local growth envelopes and optimal embeddings of generalized Sobolev spacesThe order-sharp estimates for the local growth envelopes of functions from the generalized Sobolev

On sobolev problems associated with actions of lie groupsWe consider Sobolev problems with nonlocal boundary conditions associated with an action of a

The Lower Semicontinuity of Distortion Coefficients of the Homeomorphisms Inducing Bounded Composition Operators of Sobolev–Orlicz Spaces composition operators of Sobolev–Orlicz spaces also generates an operator of this kind. We estimate

Wavelet Characterization of Local Muckenhoupt Weighted Sobolev Spaces with Variable ExponentsThe goal of this paper is to define local weighted variable Sobolev spaces of fractional

NONPOTENTIALITY OF SOBOLEV SYSTEM AND CONSTRUCTION OF SEMIBOUNDED FUNCTIONALWorks by S.L. Sobolev on small-amplitude oscillations of a rotating fluid in 1940’s stimulated a

Dirichlet boundary value problems for uniformly elliptic equations in modified local generalized Sobolev-Morrey spaces of the Dirichlet boundary value problem for a polyharmonic equation in modified local generalized Sobolev

On admissible changes of variables for Sobolev functions on (sub)Riemannian manifolds manifolds inducing isomorphisms of Sobolev spaces by the composition rule. We prove that any such mapping

Estimate of the Norm of the Hermite—Fejér Interpolation Operator in Sobolev Spaces operators in one-dimensional and multidimensional periodic Sobolev spaces are obtained. It is shown that

Regularity of the inverse of a homeomorphism of a Sobolev–Orlicz space of the inverse of ϕ in some Sobolev–Orlicz space WF 1. We also obtain necessary and sufficient conditions under

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